Live analysis

998,364

998,364 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

998,364 (nine hundred ninety-eight thousand three hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 271 × 307. Its proper divisors sum to 1,347,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BDC.

Abundant Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,352 998,353 998,354 998,355 998,356 998,357 998,358 998,359 998,360 998,361 998,362 998,363 998,364 998,365 998,366 998,367 998,368 998,369 998,370 998,371 998,372 998,373 998,374 998,375 998,376

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 46,656
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 463,899
Square (n²): 996,730,676,496
Cube (n³): 995,100,025,109,252,544
Divisor count: 24
σ(n) — sum of divisors: 2,345,728
φ(n) — Euler's totient: 330,480
Sum of prime factors: 585

Primality

Prime factorization: 2 ² × 3 × 271 × 307

Nearest primes: 998,353 (−11) · 998,377 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 271 · 307 · 542 · 614 · 813 · 921 · 1084 · 1228 · 1626 · 1842 · 3252 · 3684 · 83197 · 166394 · 249591 · 332788 · 499182 (half) · 998364

Aliquot sum (sum of proper divisors): 1,347,364

Factor pairs (a × b = 998,364)

1 × 998364

2 × 499182

3 × 332788

4 × 249591

6 × 166394

12 × 83197

271 × 3684

307 × 3252

542 × 1842

614 × 1626

813 × 1228

921 × 1084

First multiples

998,364 · 1,996,728 (double) · 2,995,092 · 3,993,456 · 4,991,820 · 5,990,184 · 6,988,548 · 7,986,912 · 8,985,276 · 9,983,640

Sums & aliquot sequence

As consecutive integers: 332,787 + 332,788 + 332,789 124,792 + 124,793 + … + 124,799 41,587 + 41,588 + … + 41,610 3,549 + 3,550 + … + 3,819

Aliquot sequence: 998,364 → 1,347,364 → 1,024,824 → 1,537,296 → 2,434,176 → 4,573,734 → 5,937,690 → 10,443,750 → 15,710,826 → 15,749,718 → 17,602,842 → 17,602,854 → 23,039,706 → 23,039,718 → 27,225,882 → 36,441,414 → 45,214,710 — unresolved within range

Continued fraction of √n

√998,364 = [999; (5, 1, 1, 53, 2, 6, 1, 1, 14, 1, 2, 1, 1, 3, 1, 4, 3, 1, 25, 1, 7, 1, 1, 49, …)]

Representations

In words: nine hundred ninety-eight thousand three hundred sixty-four
Ordinal: 998364th
Binary: 11110011101111011100
Octal: 3635734
Hexadecimal: 0xF3BDC
Base64: Dzvc
One's complement: 4,293,968,931 (32-bit)
Scientific notation: 9.98364 × 10⁵
As a duration: 998,364 s = 11 days, 13 hours, 19 minutes, 24 seconds

In other bases

ternary (3) 1212201111110

quaternary (4) 3303233130

quinary (5) 223421424

senary (6) 33222020

septenary (7) 11325453

nonary (9) 1781443

undecimal (11) 6220a4

duodecimal (12) 401910

tridecimal (13) 28c563

tetradecimal (14) 1bdb9a

pentadecimal (15) 14ac29

As an angle

998,364° = 2,773 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟητξδʹ
Chinese: 九十九萬八千三百六十四
Chinese (financial): 玖拾玖萬捌仟參佰陸拾肆

In other modern scripts

Eastern Arabic ٩٩٨٣٦٤ Devanagari ९९८३६४ Bengali ৯৯৮৩৬৪ Tamil ௯௯௮௩௬௪ Thai ๙๙๘๓๖๔ Tibetan ༩༩༨༣༦༤ Khmer ៩៩៨៣៦៤ Lao ໙໙໘໓໖໔ Burmese ၉၉၈၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998364, here are decompositions:

11 + 998353 = 998364
53 + 998311 = 998364
83 + 998281 = 998364
127 + 998237 = 998364
151 + 998213 = 998364
163 + 998201 = 998364
167 + 998197 = 998364
197 + 998167 = 998364

Showing the first eight; more decompositions exist.

Hex color

#0F3BDC

RGB(15, 59, 220)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.220.

Address: 0.15.59.220
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.220

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 998,364 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US998,364 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998364 first appears in π at position 459,248 of the decimal expansion (the 459,248ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 998364 on Pi Search ↗